Semidensities on Odd Symplectic Supermanifolds

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dc.creatorKhudaverdian, Hovhannes
dc.date2000-12-27
dc.date.accessioned2026-07-07T04:39:26Z
dc.date.available2026-07-07T04:39:26Z
dc.descriptionWe consider semidensities on a supermanifold E with an odd symplectic structure. We define a new $Δ$-operator action on semidensities as the proper framework for Batalin-Vilkovisky formalism. We establish relations between semidensities on E and differential forms on Lagrangian surfaces. We apply these results to Batalin-Vilkovisky geometry. Another application is to (1.1)-codimensional surfaces in E. We construct a kind of pull-back of semidensities to such surfaces. This operation and the $Δ$-operator are used for obtaining integral invariants for (1.1)-codimensional surfaces.
dc.descriptionPlain-TeX, 44 pages
dc.identifierhttps://arxiv.org/abs/math/0012256
dc.identifierhttp://arxiv.org/abs/math/0012256
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60657
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject58A50; 53B50; 53A55; 81T70
dc.titleSemidensities on Odd Symplectic Supermanifolds
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